Brownian bridge expansions for Lévy area approximations and particular values of the Riemann zeta function
DOI10.1017/s096354832200030xzbMath1527.60021arXiv2102.10095OpenAlexW3131182188MaRDI QIDQ6091048
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Publication date: 23 November 2023
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10095
Riemann zeta functionpolynomial approximationBrownian motionfluctuationsLévy areaKarhunen-Loève expansion
Central limit and other weak theorems (60F05) Brownian motion (60J65) Trigonometric approximation (42A10) (zeta (s)) and (L(s, chi)) (11M06) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Approximation by polynomials (41A10)
Cites Work
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- Multilevel path simulation for weak approximation schemes with application to Lévy-driven SDEs
- Weak antithetic MLMC estimation of SDEs with the milstein scheme for low-dimensional Wiener processes
- Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions
- Antithetic multilevel Monte Carlo estimation for multi-dimensional SDEs without Lévy area simulation
- On the Acceleration of the Multi-Level Monte Carlo Method
- Multilevel Monte Carlo Path Simulation
- The approximation of multiple stochastic integrals
- Random Generation of Stochastic Area Integrals
- Variable Step Size Control in the Numerical Solution of Stochastic Differential Equations
- Smooth Random Functions, Random ODEs, and Gaussian Processes
- A semicircle law and decorrelation phenomena for iterated Kolmogorov loops
- On the approximation and simulation of iterated stochastic integrals and the corresponding Lévy areas in terms of a multidimensional Brownian motion
- An Optimal Polynomial Approximation of Brownian Motion
- KMT Theory Applied to Approximations of SDE
- Runge–Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations
- Optimal Approximation of the Second Iterated Integral of Brownian Motion
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